{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"mmmu-pro","formal_name":"MMMU-Pro","introduction":"MMMU-Pro evaluates multimodal understanding across academic disciplines using images and text. The official card lists 1,730 questions per setting, separating four-option and ten-option standard settings from the vision setting.","introduction_ja":"","introduction_en":"","category":"Category not supplied","task_count":null,"acquisition_status":"Acquisition status not supplied","official_url":"https://mmmu-benchmark.github.io/","indexing_mode":"noindex","profile":{"resources":[],"task_format":"","scoring":"","metric":"","size":"","answer_access":"","license":"","citation":"","maintainer":"","released":"","why_hard":"","related":[]}},"task_id":"fbc2d303-76fa-52b8-8f5b-835f83d5ccf1","task_key":"standard~20~2810~20options~29--test--validation~5fMechanical~5fEngineering~5f18","task_revision_id":"3","upstream_id":"validation_Mechanical_Engineering_18","short_description":"The disk has a constant angular velocity p about its z-axis, and the yoke A has…","config":"standard (10 options)","split":"test","body":"{\"img_type\":\"['Diagrams']\",\"options\":\"['$\\\\\\\\alpha=(pw_{1}i-pw_{2}j+w_{1}w_{2}k)rad/s^{2}$', '$\\\\\\\\alpha=(pw_{2}i-pw_{1}j+2w_{1}w_{2}k)rad/s^{2}$', '$\\\\\\\\alpha=(pw_{2}i-pw_{1}j+w_{1}w_{2}k)rad/s^{2}$', '$\\\\\\\\alpha=(pw_{1}i+pw_{2}j+w_{1}w_{2}k)rad/s^{2}$', '$\\\\\\\\alpha=(2pw_{2}i-pw_{1}j+w_{1}w_{2}k)rad/s^{2}$', '$\\\\\\\\alpha=(pw_{2}i-2pw_{1}j+w_{1}w_{2}k)rad/s^{2}$', '$\\\\\\\\alpha=(pw_{1}i-pw_{2}j-w_{1}w_{2}k)rad/s^{2}$', '$\\\\\\\\alpha=(pw_{2}i+pw_{1}j-w_{1}w_{2}k)rad/s^{2}$', '$\\\\\\\\alpha=(pw_{2}i-2pw_{1}j-w_{1}w_{2}k)rad/s^{2}$']\",\"question\":\"The disk has a constant angular velocity p about its z-axis, and the yoke A has a constant angular velocity $\\\\omega_{2}$ about its shaft as shown. Simultaneously, the entire assembly revolves about the fixed X-axis with a constant angular velocity$\\\\omega_{1}$. Determine the expression for the angular acceleration of the disk as the yoke brings it into the vertical plane in the position shown. Solve by picturing the vector changes in the angular-velocity components.<image 1>\",\"subject\":\"Mechanical_Engineering\"}","display_format":"text","language":"","answer_status":"published","assets":[{"kind":"file","reference_id":"task:fbc2d303-76fa-52b8-8f5b-835f83d5ccf1:3:image_1.png","filename":"image_1.png","media_type":"image/png","alt":""}],"source_url":"https://mmmu-benchmark.github.io/","history":"initial import","indexing_mode":"noindex","subproblems":[],"grids":[]}